101221210100111 has 8 divisors (see below), whose sum is σ = 102230997971184. Its totient is φ = 100211571203200.

The previous prime is 101221210100099. The next prime is 101221210100119. The reversal of 101221210100111 is 111001012122101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101221210100111 - 2⁶ = 101221210100047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221210100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35877605 + ... + 38595918.

It is an arithmetic number, because the mean of its divisors is an integer number (12778874746398).

Almost surely, 2^{101221210100111} is an apocalyptic number.

101221210100111 is a deficient number, since it is larger than the sum of its proper divisors (1009787871073).

101221210100111 is a wasteful number, since it uses less digits than its factorization.

101221210100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74487081.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101221210100111 its reverse (111001012122101), we get a palindrome (212222222222212).

The spelling of 101221210100111 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred ten million, one hundred thousand, one hundred eleven".